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149757660 = 22345132547
BaseRepresentation
bin10001110110100…
…01111011011100
3101102210110220000
420323101323130
5301314221120
622505454300
73465630153
oct1073217334
9342713800
10149757660
1177597168
12421a1390
1325045800
1415c6459a
15d232990
hex8ed1edc

149757660 has 180 divisors, whose sum is σ = 509643288. Its totient is φ = 36796032.

The previous prime is 149757659. The next prime is 149757689. The reversal of 149757660 is 66757941.

It is a happy number.

149757660 is a `hidden beast` number, since 14 + 9 + 7 + 576 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273507 + ... + 274053.

Almost surely, 2149757660 is an apocalyptic number.

149757660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149757660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254821644).

149757660 is an abundant number, since it is smaller than the sum of its proper divisors (359885628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149757660 is a wasteful number, since it uses less digits than its factorization.

149757660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 149757660 is about 12237.5512256333. The cubic root of 149757660 is about 531.0429918270.

The spelling of 149757660 in words is "one hundred forty-nine million, seven hundred fifty-seven thousand, six hundred sixty".